{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "# Analysis of An $AR(1)$ Model in pyMC3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:01.030240Z",
     "start_time": "2018-12-27T20:31:59.315162Z"
    },
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:01.036401Z",
     "start_time": "2018-12-27T20:32:01.031552Z"
    }
   },
   "outputs": [],
   "source": [
    "plt.style.use('seaborn-darkgrid')\n",
    "np.random.seed(seed=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "Consider the following AR(1) process, initialized in the\n",
    "infinite past:\n",
    "$$\n",
    "   y_t = \\theta y_{t-1} + \\epsilon_t,\n",
    "$$\n",
    "where $\\epsilon_t \\sim iid{\\cal N}(0,1)$.  Suppose you'd like to learn about $\\theta$ from a a sample of observations $Y^T = \\{ y_0, y_1,\\ldots, y_T \\}$.\n",
    "\n",
    "First, let's generate our sample."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:01.318630Z",
     "start_time": "2018-12-27T20:32:01.037415Z"
    },
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = 100\n",
    "y = np.zeros((T,))\n",
    "\n",
    "for i in range(1,T):\n",
    "    y[i] = 0.95 * y[i-1] + np.random.normal()\n",
    "\n",
    "plt.plot(y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "Consider the following prior for $\\theta$: $\\theta \\sim {\\cal N}(0,\\tau^2)$.\n",
    "We can show that the posterior distribution of $\\theta$ is of the form\n",
    "\n",
    "$$\n",
    " \\theta |Y^T \\sim {\\cal N}( \\tilde{\\theta}_T, \\tilde{V}_T),\n",
    "$$\n",
    "\n",
    "where\n",
    "\n",
    "$$\n",
    "\\begin{eqnarray}\n",
    "        \\tilde{\\theta}_T &=& \\left( \\sum_{t=1}^T y_{t-1}^2 + \\tau^{-2} \\right)^{-1} \\sum_{t=1}^T y_{t}y_{t-1} \\\\\n",
    "        \\tilde{V}_T      &=& \\left( \\sum_{t=1}^T y_{t-1}^2 + \\tau^{-2} \\right)^{-1}\n",
    "\\end{eqnarray}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:37.121828Z",
     "start_time": "2018-12-27T20:32:01.320264Z"
    },
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [beta]\n",
      "Sampling 4 chains: 100%|██████████| 6000/6000 [00:02<00:00, 2837.12draws/s]\n",
      "The acceptance probability does not match the target. It is 0.8820631701867353, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "/home/stefan/.pyenv/versions/miniconda3-latest/envs/ml4t/lib/python3.7/site-packages/matplotlib/axes/_base.py:3604: MatplotlibDeprecationWarning: \n",
      "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n",
      "  alternative='`bottom`', obj_type='argument')\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tau = 1.0\n",
    "with pm.Model() as ar1:\n",
    "    beta = pm.Normal('beta', mu=0, sd=tau)\n",
    "    data = pm.AR('y', beta, sd=1.0, observed=y)\n",
    "    trace = pm.sample(1000, cores=4)\n",
    "    \n",
    "pm.traceplot(trace);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:37.135880Z",
     "start_time": "2018-12-27T20:32:37.125875Z"
    },
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean: 0.957 (exact = 0.956)\n",
      "Std: 0.032 (exact = 0.032)\n"
     ]
    }
   ],
   "source": [
    "mup = ((y[:-1]**2).sum() + tau**-2)**-1 * np.dot(y[:-1],y[1:])\n",
    "Vp =  ((y[:-1]**2).sum() + tau**-2)**-1\n",
    "print('Mean: {:5.3f} (exact = {:5.3f})'.format(trace['beta'].mean(), mup))\n",
    "print('Std: {:5.3f} (exact = {:5.3f})'.format(trace['beta'].std(), np.sqrt(Vp)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:37.833969Z",
     "start_time": "2018-12-27T20:32:37.139352Z"
    },
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+7+jr68OmTZuwfPlylJWVYfHixbjiiitynY+I0hXqhhFxxG25LXgA8Boq4IhwNavejPoafFdXF1paWtDb24vS0lJs3rwZ//iP/5jLbESUgUhv8g6PQg5XsQ7yGz1wxrjYSW9GdQa/aNEiWCwWLF68GMuXL4fJlPxE/p577slpOCJKn787ucjJ6M59wYetVSgLb4dXkQGBczf0YlQF/+STT+KSSy45+fW7776LOXPm4IUXXshZMCLKTGRgE45crmIdJNurYeyNIxHoguTI/SUhGp0RC37nzp04dOgQXnrpJdx9990AgEQigXXr1mHTpk2qBCSi9CQGVpY6y7O/2fbZRGfyXUJ/53GUsuB1Y8SCdzqd6OrqQjQaRWdn8m5xgiDgkUceUSUcEaVPCLSjS3GiwjX0fp3ZZC5Nbrjt7z6B0vpZOR+PRmfEgp86dSqmTp2KxYsXo7KSv5WJ8okp1IEuoQzlhtxfEy8ZWOwU5d6sujJiwT/wwAN45plnsHDhwnO+9/bbb+csFBFlzh7tQLtUjtzdheaUMk8tEooAmTcc05URC/6ZZ54BwDInykfOeDcOW6aoMpbNYkaX4IYU5GpWPRnVe7f33nsP27dvx7Zt23DjjTdi48aNuc5FRJlIxOBW+hDN8SrW0/WKFdy6T2dGVfBPPfUUJkyYgJdffhnr16/Hq6++mutcRJQB2d8OEQpkR+52cjqb3+RBCRc76cqoCt5sNqO8vBwGgwEejwfRaDTXuYgoA76u4wBOTV9UQ9hSiTKZBa8noyp4h8OBu+++G1/84hfxyiuvoKZGvf9oiCh1oZ7kbQrM7tzPgR+UsFfDhQDCIb9qY9LIRrWS9emnn8axY8cwefJkHDx4EIsWLUprsP/4j//A1q1bEYvFcPvtt6d9HCIa2eBm2/ay3K9iHSQ5a4BmoLf9GKprOK1aD0ZV8N3d3XjrrbewefPmk49961vfSmmgHTt2YNeuXVi/fj1CoRB+8YtfpJaUiEZN9rUhqkgoLa9SbcxTi52OA5it2rg0vFEV/PLly3HVVVdldGnm7bffxtSpU3HffffB7/fj0UcfTftYRDQyQ7AdnSiF22ZWbczBxU6RXi520otRFbzdbsdDDz2U0UC9vb1oaWnB888/jxMnTuDee+/F5s2bIQinthJzOMwwGKS0ji9JItxuW0YZc4G5UsNcqRkuV0+0E71iGaaV2lXLYjdNTWYKdeTdz0sPcpFtVAU/ZcoU/OEPf8AFF1xwspDr6+tTGsjtdmPixIkwmUyYOHEizGYzenp6UH7abu9+fySlY555fBu83mDar88V5koNc6VmuFz2SAeOGepUzmyEDCvkvmYkEnJe/bz0IJNsHs/Q9xsaVcHv27cP+/btO/m1IAh4+eWXUwowa9YsvPzyy7j77rvR0dGBUCgEt9ud0jGIaHTciR4csKp/069esRwWLnbSjVEV/Jo1a+Dz+dDc3Ixx48bBbk/9bd/111+P9957D7feeisURcGKFSsgSeldjiGiEUT9cCCImE29D1gH+YweOKKdqo9LQxtVwb/xxht47rnnkEgkMH/+fAiCgG9+85spD8YPVolyL9Kb3MlJdqg3B35Q2FKJ6vBOKIqi+th0rlEtdHrxxRexYcMGuN1ufPOb38SWLVtynYuI0hQYWMUquWpVHzvhqIEHXvQG0v88jbJnVAUvCAJMJhMEQYAgCLBarbnORURpivQmC96i4iKnQWJJDYxCAp1tJ1Qfm841qoK//PLL8fDDD6O9vR0rVqzAjBkzcp2LiNKUGFjF6hiYl64m08Bip/6OY6qPTec67zX4/fv3QxRF7N27F3/zN38Dp9OJhoYGNbIRURokfys6FZcqW/WdraQ8+a4h0H0cwJWqj09nGvEM/o9//CMef/xx1NbW4pFHHoHT6cSGDRt4DZ5Ix8yhVrSjHDaT+rPU7AMFH/e2qD42nWvEM/iXX34Za9euhc12anXVggULcO+99+LGG2/MeTgiSp0j2oEjhmqoP0kSgM2DOETAx4LXgxHP4A0GwxnlDiRvHcz560T65Y53wmfSpN4BUYJXLIM51K7N+HSGEQv+9PvEnE6W5ZyEIaLMCFEf7EoQYYtGBQ/AZ6yAPcLFTnow4iWaQ4cO4eGHHz7jMUVRcPjw4ZyGIqL0CL7kDJqEBoucBoUtVSgNHUJCViCJQ58kkjpGLPif/vSnQz6+ZMmSnIQhosyEu5PzzwWndgUft1ej1vsujgWiqCpR73bFdK4RC37OnDlq5SCiLAj1JOefm0rVX+Q0SCypgVMIobOnG1Ul2v2ioVEudCKi/BDva4asCLCXqX+bgkGmgX1gfV1czao1FjxRARF9LeiECx6XQ7MMjoG58BEvd3bSGgueqIAYg61oVcpRbjNplsE8cHko0d+qWQZKYsETFRB7pB2dYgVMBu3+107YqwEAkr9NswyUxIInKhSKAmesE/3GSm1zGG0ICHaYw1zspDUWPFGBECJ9sChhhDRc5DTIb+LOTnrAgicqEKI/ef8XLRc5DQpaa1AhdyIS56p3LbHgiQpEwpvc6EN0qX8f+LMlnOMwVuhEh487O2mJBU9UIIJdjQAAc8UEbYMAEEvrUCb40dXbo3WUosaCJyoQ8Z6jCCkmuMtqtI4Cq6ceABDsbNI2SJFjwRMVCLH/OE4oHlS7LFpHgbN6EgAg3sut+7TEgicqEJZgC5qVCngc2t/gy1Q+AUDylw5phwVPVCCckVZ0GWtg0MMteu0eRGCCKcj70WhJ9YLv7u7Gddddx3vKE2WREOmHXfbBb9b++jsAQBDQbaiCM8zbFWhJ1YKPxWJYsWIFLBbtrxESFRLRlzxTjji0u4vk2frNNSiPczWrllQt+B//+MdYsmQJKis1XkpNVGCEvoFr3a46bYOcJmyrRQ06EIjGtY5StEbc8CObfv3rX6OsrAzXXHMNVq1aNeRzHA4zDIb0NvSWJBFut+38T1QZc6WGuVIzmKvPlyz48nFTdZFTkkQYKiagrNOPjmgQtZXVWkcCoN+/RyA32VQr+F/96lcQBAF/+ctfsG/fPjz22GN47rnn4PF4Tj7H709/1ZvbbYPXG8xG1KxirtQwV2oGc/laDsGqmOFwlOsip9ttg2xPXi5qObIP5Q6nxomS9Pr3CGSWzeMpGfJx1Qr+lVdeOfnvDQ0N+O53v3tGuRNRBvqSc+DryvRzdmobWFEb7T4K4ApNsxQrTpMkKgCWYDNaBQ8q7Npt9HG2kqqJAAClj3PhtaLaGfzp1qxZo8WwRAXLFWmD1zQNgqCDOfADRLsHYZhg9LHgtcIzeKI8J4S9sCt+ROz6mSIJABAEdEg1cIRY8FphwRPlO2/yLpKya4K2OYbgtYxFZYyrWbXCgifKc33NBwEA1qopGic5V9gxHrVKOwJh3hdeCyx4ojwX6PgUsiLAM3aq1lHOoZROhFmIo6u1SesoRYkFT5TvehvRinKM95RqneQclsrJAAB/+yGNkxQnFjxRnrP5j6JNqoHZoL//nd01yXcV8W4WvBb0918EEaWkItYMn00/96A5na18LMIwwtDXpHWUosSCJ8pjwb4uuOFDQoczaAAAgohWcQzsQU6V1AILniiPNTfuBQBYPJM1TjK8XvNYVEQ5VVILLHiiPNZ7fD8AoKx2msZJhhcuGY8xchui0ZjWUYoOC54oj0U6DkFWBJTV6m8O/CBxYKpkW0uj1lGKDgueKI+Z+w6jU/RANFq1jjIse3Xyl4+35YDGSYoPC54oj1WEmtBlnaB1jBGVj50OAIh1HtQ4SfFhwRPlqW5fCBOUZoRd+v2AFQCMrjHwwwaTl3Ph1caCJ8pTzccOwizEYKqcrnWUkQkCWozjURY8onWSosOCJ8pT/c3JKZLucRdrnOT8+h2TMC5xHHFZ0TpKUWHBE+UppSv5oaW1Wudn8AASZVNQLvSjva1Z6yhFhQVPlKfs/UfQI1VAMetjQ+uRWKovBAD0HP9Y4yTFhQVPlIfCsQRqYkfhc0zUOsqoeMbPAABE2vZpnKS4sOCJ8tChTh8mCc2QK/S7gvV0Rnct/LDB2MOpkmpiwRPlodbjn8IuRFAy9iKto4yOIKDdPAGlnEmjKhY8UR6KtnwEAHDVz9Q4yegFnZNRrxyDNxDVOkrRYMET5SFLzydIQAQq8+QMHoBQNQNlgh9Hjx3WOkrRUK3gY7EYHnnkESxduhS33nor3nzzTbWGJiooCVlBdfAgOs3jAR3fg+ZsrgmzAAD+Yx9onKR4qFbwv//97+F2u7Fu3TqsXr0a3/ve99QamqigHO8NYbrQBL9L//PfT2cZMwMJiDB0fqR1lKJhUGug+fPnY968eSe/liRJraGJCsrhY0dxudCLpjGXah0lNUYrWg3jUObbr3WSoqHaGbzdbofD4YDf78cDDzyABx98UK2hiQpK/8AlDmfdZzROkjqv60JMShxGX4ibf6hBtTN4AGhtbcV9992HpUuX4qabbjrn+w6HGQZDemf2kiTC7bZlGjHrmCs1zHV+pu5PAAAlky/XVa7TDZerf/xMVHX/EQc6TmD8pep/QKzXnxeQm2yqFXxXVxf+7u/+DitWrMBVV1015HP8/kjax3e7bfB6g2m/PleYKzXMNbJwLIGqwD70WmoQj5jgtsq6yHW24X5e9jGXAR8AzZ/8Fd7x9brJpQeZZPN4SoZ8XLVLNM8//zz6+/vx7LPPoqGhAQ0NDQiHw2oNT1QQDrT78BnhU/jKL9M6SloMNQMftLbt0jpKUVDtDP6JJ57AE088odZwRAWpsekgbhR60VZ3hdZR0qKYHGg1T8LYwEdIyAokUdA6UkHjQieiPBJs2gEAMI/Pz4IHAF/FTFyCT9HY6dU6SsFjwRPliVhCRlnvbkQFC+LlF2gdJ22W+s/CLkTQ8un7WkcpeCx4ojzxcWs/LsUBeN0XAaKqE+CyqmRicpJF9OhfNU5S+FjwRHli16fHcLHQBMOEz2kdJSNKyRh0GWpQ4d2FBLfwyykWPFGe8B/aBlFQIE64VusoGeurmInLlH040O7TOkpBY8ET5YHG7iCmBD9ATLQgVpV/K1jPZpt0HTxCPxr3v6d1lILGgifKA2992oWrxb0IV88BJJPWcTJmmnJD8l8a39I2SIFjwRPpnKIo2LV3DyaLLRAmXKd1nKyQ7VVot07GNP+7aPelv4KdRsaCJ9K5T9p8mO57GwAQrZ+rcZrskSdcj9niAby9r0nrKAWLBU+kcxv3tmOe9D6i7slIuCdqHSdrrNPnwygk4N3zR62jFCwWPJGOReIy/rL/COaI+xCfOO/8L8gjserZCBjLcal/G/a29msdpyCx4Il0bNuhLlwd3wEJMiL1hVXwECXEp3wF14sf4rfvc5/WXGDBE+nYxj3tuN30NuKuesQLYHrk2ZRpN8EixIBDm3G0R5+38c1nLHginWr3RdB87ABmKp8gMn0RIBTenRdjNXMQdYzFEum/sfovR7WOU3BY8EQ6tXFPGxZJ/w0FAsJTF2odJzcEEbGL7sCV4l58euAjHOoMaJ2ooLDgiXQonpDx+u4m3GXciuiEuZCdY7WOlDPhCxZDEQxYZtqKZ99u1DpOQWHBE+nQtsPduCa8FU6lH6HLvq51nJyS7VWITLkJt0tbsedIE3Y392kdqWCw4Il06NfvN+J+4+8R81yC2JgrtY6Tc8FZ98Mkh3Cf9U/4v//TCEXhXSazgQVPpDPvH/fikvZfoQadCFz1eEF+uHq2RNlUhCd9BcuE19HW3Ih3Gnu1jlQQWPBEOiIrCjZs34nlxt8gPO7ziI3L73u/pyLw2cdhEGT80LYeP3u7ETLP4jPGgifSkd991IK7un8CiygjcN33tY6jKtlZh+Cs+/EF+R1c0P0n/L/9nVpHynsseCKdOOENIfE//4prpY8R/twTkF0TtI6kuuDM+xCtno0fmX6ON/5nG2IJWetIeY0FT6QDwWgCf37tX3Gv8Ct0T7oV4YuXaR1JG5IRvv/1LARzCX4S/d/YuuNdrRPlNRY8kcb8wSB2rX0Q34qsRmvV9ZDn/mtRfLA6HLlkDIIL1sMqyvjKB3fBd+BNrSPlLdUKXpZlrFixArfddhsaGhpw9CiXJVNxUhQFfaEY9rT04a9bf4nES3Px1dC9hchWAAAJcUlEQVRvcLB2EQwLXyyIHZsyJZdPx/Gbfo1uuDBxyzIYNj8Isf+E1rHyjkGtgbZs2YJoNIr/+q//wocffogf/ehHeO6559QankhTcVnBhyf68NaBFnQdehcXRT7EzdI7mCy2oEWoxu4rVmLM7AVax9SVynHTsfNLv8Gbf/g+7j70G4iHf40PTHOw03IlDpgvgbm8HlMqHbigqgQTK+wwiMX7rmc4qhX8+++/j2uuuQYAcNlll2HPnj1ZO7YQ9UPY9yeY/eEhvjvcVKthHh92alZ6zxdsZpiDkXMeH+3hUx93+NcIp71GsJlgCUbPM3i2fkbDPH2Ib4hWEyyhYbZwG2bcnkAEHf7oye+fepZy6t+Vsw8hnzm6knyKAAWKcm4yo1FENJoYIop8zp9EUQBRScCUCECK9iMW9EIOdGGa3IYbhU4YhQRgBLrcl+Ho9PthvXQxxhjMQ/+Zi9zsiWNQ3fAT/J93G3DBiVdxdWQ7Lu//KwCgv8OGI59Uo0MpxX8LpZCsLhjNdhgtdpgtdhiMRkiiBIMkAaIIQIDRbEYkmgAEAQpO/UIQVL4kJgnAtEoHDGLyIopsdgKu+VkfR7WC9/v9cDgcJ7+WJAnxeBwGw6kIDocZBoOU8rHFHS9C2vIknFlJmn16zVWidYBhpJqrBMD4XATJkKwI8MGKgOBA3OyCVH4pEuOmQxg7C0rdZ+GylcGV4RiSJMLttmUlbzZlM5fbbcPFE24AcAOgKIh17IXQ8j7srR9hSucR1Pe1wBg8BGMkCGMkBuTh3iEKBCjj3oW7dFJWj6tawTscDgQCp+4UJ8vyGeUOAH5/mpvvTl0G96Qb4esPDfOEYX47D/tbO9XnD02BAKfTiv6zc2Vt3JHyjHysc3MN9/z0jj/a5ytnPe5yWdHXF0rpOIFoHF2B2MB3heQzhNPjCCdfefphBTH57MHHTjufgyCceRyn0wKfL3rGcYSTzxaB078WAAgiFKMdRoMEi1GCceB7vsEhogCimd//3O22wevV333Uc5rLPBGonwjULzr50OB7UchxCPEQIiE/ItE4ovEYIvEEIMsQFAV2hxEBXwhQTp9+eeb7NTXWVxkkATVOy6kxjQ44Syel/TPzeIY+LVKt4GfOnIm33noLX/rSl/Dhhx9i6tSp2Tu4IAIV05Aw6O8/dLhtkEUd5nLZICs6zOWwQYmnlstmA+rcOcozwO22wWjU4c+LziQaoJhKYDKVYKiPqvX0CzFx/qdkTLWCnzt3Lv785z9jyZIlUBQFP/zhD9UamoioKKlW8KIo4p//+Z/VGo6IqOhxoRMRUYFiwRMRFSgWPBFRgWLBExEVKBY8EVGBEhRufkhEVJB4Bk9EVKBY8EREBYoFT0RUoPKu4EezcYgsy/ja176G9evX6ybX97//fSxcuBANDQ1oaGiAz+cb5kjq5tq2bRsWL16MxYsX47vf/S7U+khmpFz79u07+XNqaGjAjBkzsH37ds1zAcALL7yAhQsX4pZbbsGf/vQnVTKNJteqVatw880344477sBbb72lWq5Bu3fvRkNDwzmPb926Fbfccgtuu+02bNiwQTe5ACAUCmHJkiU4fPiwyqmGz7Vp0yYsWrQIS5YswYoVKyDLGe5Jq+SZN954Q3nssccURVGUXbt2Kd/4xjfOec5PfvIT5dZbb1XWrVunm1xLlixRuru7Vcszmlw+n0/58pe/fDLXqlWrVMs4mr9HRVGU119/Xfn7v/97VTKdL1dfX59y3XXXKZFIRPF6vcrnP/95XeTav3+/ctNNNynhcFgJh8PKV7/6VSUYDKqWbdWqVcpXvvIVZdGiRWc8Ho1GlRtvvFHxer1KJBJRFi5cqHR0dGieS1EU5aOPPlIWLFigfPazn1UOHTqkWqaRcoVCIeWGG244+Xf30EMPKVu2bMlorLw7gz/fxiGbN2+GIAi49tprdZNLlmUcPXoUK1aswJIlS/Daa6/pIteuXbswdepU/PjHP8bSpUtRUVGBsrIyzXMNCgaDWLlyJb7zne+okul8uaxWK8aMGYNQKIRQKKTqJhEj5Tp8+DDmzJkDs9kMs9mM8ePH48CBA6plq6urw8qVK895/PDhw6irq4PL5YLJZMKsWbOwc+dOzXMBQDQaxc9+9jNMnDhRtTyDhstlMpnw6quvwmq1AgDi8TjM5sw2gsm7gh9u4xAAOHjwIDZt2oTly5frKlcwGMTf/u3f4qmnnsLPf/5zrFu3Dvv379c8V29vL3bs2IF/+Id/wOrVq/Gf//mfaGxs1DzXoNdeew3z589X7ZfOaHLV1NTgy1/+MhYsWIA777xTF7mmTZuGnTt3wu/3o7e3F7t27UIoNNzeCNk3b968c/Z2GMxcUnLqPuV2ux1+v1/zXAAwa9Ys1NTUqJbldMPlEkURFRUVAIA1a9YgGAzi6quvzmgs1e4mmS0jbRzy29/+Fu3t7Vi2bBmam5thNBpRW1urytn8SLmsVivuvPPOk7+Zr7zySuzfvx/Tp0/XNJfb7caMGTPg8XgAALNnz8a+fftQX1+vaa5BGzduxDPPPJPzLKPNtX37dnR0dODNN98EANxzzz2YOXMmLrnkEk1zTZo0CXfccQe+/vWvY/z48bj00ktRWlqa80znc3bmQCBwRuHTuWRZxlNPPYXGxkasXLky43eJeXcGP3PmzJMfuJ29ccijjz6KX/7yl1izZg0WLFiAu+66S7VLNSPlampqwtKlS5FIJBCLxfDBBx/goosu0jzXxRdfjIMHD6KnpwfxeBy7d+/G5MmTNc8FAD6fD9FoVPWzrJFyuVwuWCwWmEwmmM1mlJSUoL9fnf3hRsrV09OD3t5erF+/Ht/5znfQ2tqKKVOmqJJrJJMmTcLRo0fh9XoRjUaxc+dOfOYzn9E6lq6tWLECkUgEzz777MkTwkzk3Rn8UBuHvPjii6irq8MNN9yg21w33XQTFi9eDKPRiJtvvlm1/wHPl+vhhx/G1772NQDA/Pnzs7vTVga5GhsbUVtbq0qWVHK98847WLx4MURRxMyZMzN+C52NXF/4whdw4sQJ3HLLLTAajXj00UchSanvbZwtGzduRDAYxG233YZvf/vbuOeee6AoCm655RZUVVXpIpeeDOa6+OKL8dprr2H27NlYtmwZAODOO+/E3Llz0z42b1VARFSg8u4SDRERjQ4LnoioQLHgiYgKFAueiKhAseCJiAoUC56IqECx4ImIChQLnoioQP1/WsczQTVfgNEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as p\n",
    "from scipy.stats import norm\n",
    "ax=p.Series(trace['beta']).plot(kind='kde')\n",
    "xgrid = np.linspace(0.4, 1.2, 1000)\n",
    "fgrid = norm(loc=mup, scale=np.sqrt(Vp)).pdf(xgrid)\n",
    "ax.plot(xgrid,fgrid);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "## Extension to AR(p)\n",
    "We can instead estimate an AR(2) model using pyMC3.\n",
    "$$\n",
    " y_t = \\phi_1 y_{t-1} + \\phi_2 y_{t-2} + \\epsilon_t.\n",
    "$$\n",
    "The `AR` distribution infers the order of the process by size the of `rho` argmument passed to `AR`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:56.724667Z",
     "start_time": "2018-12-27T20:32:37.835725Z"
    },
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [beta]\n",
      "Sampling 4 chains: 100%|██████████| 6000/6000 [00:04<00:00, 1237.64draws/s]\n",
      "The acceptance probability does not match the target. It is 0.8937127663657223, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "The number of effective samples is smaller than 25% for some parameters.\n",
      "/home/stefan/.pyenv/versions/miniconda3-latest/envs/ml4t/lib/python3.7/site-packages/matplotlib/axes/_base.py:3604: MatplotlibDeprecationWarning: \n",
      "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n",
      "  alternative='`bottom`', obj_type='argument')\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as ar2:\n",
    "    beta = pm.Normal('beta', mu=0, sd=tau, shape=2)\n",
    "    data = pm.AR('y', beta, sd=1.0, observed=y)\n",
    "    trace = pm.sample(1000, cores=4)\n",
    "    \n",
    "pm.traceplot(trace);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "You can also pass the set of AR parameters as a list. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:34:38.866654Z",
     "start_time": "2018-12-27T20:32:56.732921Z"
    },
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "INFO (theano.gof.compilelock): Waiting for existing lock by process '17791' (I am process '17767')\n",
      "INFO (theano.gof.compilelock): To manually release the lock, delete /home/stefan/.theano/compiledir_Linux-4.15--generic-x86_64-with-debian-buster-sid-x86_64-3.7.1-64/lock_dir\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [beta2, beta]\n",
      "Sampling 4 chains: 100%|██████████| 8000/8000 [00:10<00:00, 753.83draws/s]\n",
      "The acceptance probability does not match the target. It is 0.6892369413323449, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "The acceptance probability does not match the target. It is 0.652965271997826, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "The number of effective samples is smaller than 10% for some parameters.\n",
      "/home/stefan/.pyenv/versions/miniconda3-latest/envs/ml4t/lib/python3.7/site-packages/matplotlib/axes/_base.py:3604: MatplotlibDeprecationWarning: \n",
      "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n",
      "  alternative='`bottom`', obj_type='argument')\n",
      "/home/stefan/.pyenv/versions/miniconda3-latest/envs/ml4t/lib/python3.7/site-packages/matplotlib/axes/_base.py:3604: MatplotlibDeprecationWarning: \n",
      "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n",
      "  alternative='`bottom`', obj_type='argument')\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as ar2:\n",
    "    beta = pm.Normal('beta', mu=0, sd=tau)\n",
    "    beta2 = pm.Uniform('beta2')\n",
    "    data = pm.AR('y', [beta, beta2], sd=1.0, observed=y)\n",
    "    trace = pm.sample(1000, tune=1000, cores=4)\n",
    "\n",
    "pm.traceplot(trace);"
   ]
  }
 ],
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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  "name": "AR.ipynb",
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   "title_cell": "Table of Contents",
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   "toc_position": {},
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 "nbformat": 4,
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